A scale model of a human heart is 196 inches long. The scale is 32 to 1. How many inches long is the actual heart? Round your answer to the nearest whole number.

Respuesta :

If the scale is 32 to 1, that means it is 32 times bigger than the actual thing. So if the model is 196 inches long, then the actual heart is 196/32 inches long. This equals 6.125.

Answer, rounded to the nearest whole number: 6 inches.

Scale factor for a model as compared to the original is given by the expression,

Scale factor = [tex]\frac{\text{Dimension of the model}}{\text{Dimension of the original}}[/tex]

Scale factor given for the model as compared to the original has been given as 32 : 1.

Therefore, expression for the model of the human heart will be,

[tex]\frac{32}{1}=\frac{\text{Dimension of the model}}{\text{Dimension of the original}}[/tex]

By substituting the dimension of the model = 196

[tex]\frac{32}{1}=\frac{196}{\text{Dimension of the original}}[/tex]

Dimension of the original or actual heart = [tex]\frac{196}{32}[/tex]

                                                                    = [tex]6.125[/tex]

                                                                    ≈ [tex]6[/tex] inches

Therefore, actual heart is [tex]6[/tex] inches long.

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